2016
DOI: 10.12693/aphyspola.129.a-79
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Exact Diagonalization Approach for Atomistic Calculation of Piezoelectric Effects in Semiconductor Quantum Dots

Abstract: We present an exact diagonalization approach for atomistic calculation of excitonic properties of semiconductor nanostructures under piezoelectric field. The method allows for efficient treatment of both single particle and many-body states at a small computational cost and results in a very good agreement with the full diagonalization treatment. We illustrate our approach by analyzing the effect of a piezoelectric field on a spectra of a self-assembled InAs/GaAs lens-shaped quantum dot. We study the influence… Show more

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Cited by 6 publications
(3 citation statements)
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“…The brightest lines, which form avoided crossings, are well reproduced by the simulation. In order to relate the spectra to the morphological characteristics of the QDM and to confirm the form of the spectrum with a model based on realistic wave functions and an extended number of hole and trion states, we have performed k · p calculations of the trion PL spectra. In spite of the multiple transitions present in the k · p model, the low-excitation PL spectrum is very similar to that obtained in the semiempirical model (SI).…”
Section: Resultsmentioning
confidence: 99%
“…The brightest lines, which form avoided crossings, are well reproduced by the simulation. In order to relate the spectra to the morphological characteristics of the QDM and to confirm the form of the spectrum with a model based on realistic wave functions and an extended number of hole and trion states, we have performed k · p calculations of the trion PL spectra. In spite of the multiple transitions present in the k · p model, the low-excitation PL spectrum is very similar to that obtained in the semiempirical model (SI).…”
Section: Resultsmentioning
confidence: 99%
“…Minimization of strain energy is performed with the conjugate gradient method. [53,54] Next, the piezoelectric potential [55][56][57][58][59][60] is calculated by accounting for both linear and quadratic contributions, with piezoelectric coefficients from Ref. [57].…”
Section: Systems and Methodsmentioning
confidence: 99%
“…Having the single-particle states we then compute the exciton states which are found using the configuration interaction (CI) method. The axial field is included at the CI stage 26 . Due to numerical efficiency reasons we limit our basis to 4 lowest electron and hole states (i.e.…”
Section: A Carrier System and Its Modelmentioning
confidence: 99%